10/182 multiplied by 71/2 in Fraction Form

The result of 10/182 multiplied by 71/2 is: 1 173/182

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 10182 and 712.

Step 2: Multiply the Numerators

Multiply the numerators: 10 × 71 = 710

Step 3: Multiply the Denominators

Multiply the denominators: 182 × 2 = 364

Step 4: Simplify the Fraction

We can simplify 710364 to its lowest form.
The greatest common divisor (GCD) of 710 and 364 is 2.
Dividing both numerator and denominator by the GCD, we get 355182.

Step 5: Convert to Mixed Number

The fraction 355182 can be written as the mixed number 1173182.

Final Answer

The result of 10/182 multiplied by 71/2 is:

10182×712=1173182

Understanding Fraction Multiplication

How to Multiply Fractions

To multiply fractions, you multiply the numerators together and the denominators together:

ab×cd=a×cb×d

After multiplying, it's always good practice to simplify the fraction to its lowest form.

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

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